211010021011200 has 216 divisors, whose sum is σ = 696600353831536. Its totient is φ = 56251293696000.

The previous prime is 211010021011147. The next prime is 211010021011201. The reversal of 211010021011200 is 2110120010112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211010021011201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58162530 + ... + 61683870.

Almost surely, 2^{211010021011200} is an apocalyptic number.

211010021011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211010021011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348300176915768).

211010021011200 is an abundant number, since it is smaller than the sum of its proper divisors (485590332820336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211010021011200 is a wasteful number, since it uses less digits than its factorization.

211010021011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524491 (or 3524472 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211010021011200 its reverse (2110120010112), we get a palindrome (213120141021312).

The spelling of 211010021011200 in words is "two hundred eleven trillion, ten billion, twenty-one million, eleven thousand, two hundred".